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CivilSoil Mechanics
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When soil is at liquid limit, Ic =..............

A

0

B

1

C

infinity

D

none of these

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilSoil Mechanics
Option A

0

Quick Summary:

The Consistency Index (IcI_cIcтАЛ) is a measure of the relative stiffness of a fine-grained soil. By definition, when the natural water content (wnw_nwnтАЛ) of a soil is equal to its liquid limit (wLw_LwLтАЛ), the consistency index becomes zero.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The Consistency Index (IcI_cIcтАЛ) is a measure of the relative stiffness of a fine-grained soil. By definition, when the natural water content (wnw_nwnтАЛ) of a soil is equal to its liquid limit (wLw_LwLтАЛ), the consistency index becomes zero.

ЁЯФв Key Formulas

Ic=wLтИТwnIpI_c = \frac{w_L - w_n}{I_p}IcтАЛ=IpтАЛwLтАЛтИТwnтАЛтАЛ тАФ Consistency Index formula

Ip=wLтИТwPI_p = w_L - w_PIpтАЛ=wLтАЛтИТwPтАЛ тАФ Plasticity Index formula

тЪЩя╕П Working Principle

The consistency index is defined as the ratio of the difference between the liquid limit and the natural water content to the plasticity index of the soil. When wn=wLw_n = w_LwnтАЛ=wLтАЛ, the numerator becomes zero, resulting in Ic=0I_c = 0IcтАЛ=0. This indicates that the soil is in a liquid state, having minimal shear strength.

ЁЯУМ Key Points
  • тЦ╕

    Consistency index describes the state of cohesive soil relative to its liquid and plastic limits.

  • тЦ╕

    If Ic=1I_c = 1IcтАЛ=1, the natural water content is equal to the plastic limit (wn=wPw_n = w_PwnтАЛ=wPтАЛ).

  • тЦ╕

    If Ic>1I_c > 1IcтАЛ>1, the soil is in a semi-solid or solid state.

  • тЦ╕

    If Ic<0I_c < 0IcтАЛ<0, the soil is in a liquid state (wn>wLw_n > w_LwnтАЛ>wLтАЛ).

тЬЕ Advantages
  • тЦ╕

    Provides a quick assessment of soil consistency in the field.

  • тЦ╕

    Useful for evaluating the engineering behavior of clays.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Limited to fine-grained soils (clays and silts).

  • тЦ╕

    Does not account for soil structure or sensitivity.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Foundation engineering design.

  • тЦ╕

    Predicting settlement characteristics of clayey deposits.

ЁЯУД Additional Information
  • тЦ╕

    The consistency index is different from the Liquidity Index (ILI_LILтАЛ). Ic+IL=1I_c + I_L = 1IcтАЛ+ILтАЛ=1.

  • тЦ╕

    Option B (Ic=1I_c=1IcтАЛ=1) corresponds to the plastic limit, not the liquid limit.

ЁЯУК Diagram / Illustration
Consistency Index (Ic)
Ic=wLтИТwnIpI_c = (w_L - w_n / I_p)IcтАЛ=IpтАЛwLтАЛтИТwnтАЛтАЛ
When wтВЩ = wтВЧ, then I_c = 0
тЬЕ

A is correct тАФ The consistency index IcI_cIcтАЛ is calculated as (wLтИТwn)/Ip(w_L - w_n) / I_p(wLтАЛтИТwnтАЛ)/IpтАЛ; therefore, when wn=wLw_n = w_LwnтАЛ=wLтАЛ, IcI_cIcтАЛ equals 0.

Core Concepts Used
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Atterberg Limits Consistency of Soil Soil Mechanics
ЁЯТб EXAM TIP

Always verify if the question asks for Consistency Index (IcI_cIcтАЛ) or Liquidity Index (ILI_LILтАЛ), as their definitions are inverse at the Atterberg limits.

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